tolesy, welcome to the forum!
Honestly, I can't see using a holster that big with a gun the size of the LCP, but that may be me. I had a Crossbreed IWB for a XD subcompact, and while they're great holsters, the one thing i didn't like was its size. It felt like strapping a saddlebag on under my waistband, and I really don't want my whole hip wrapped in leather. It was supportive of the gun, but not exactly comfortable.
If I got an LCP it would be mainly for pocket carry, probably via a Desantis "Super Fly" like I use with my PPS. If I went IWB I'd do something light and simple like a Don Hume H715 clip-on, or Blade-Tech if I wanted Kydex.
YMMV, and all that. Not necessarily trying to talk you out of the CB, they are good holsters, but IMO better suited to distributing the weight of a big heavy gun that's unwieldy to carry in the first place.
-- Sam